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Read in the following dictionary:
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 x_{6}   &  -1.0 & -3.00 x_{1} & +  4.00 x_{2} & -10.00 x_{3} & -5.00 x_{4} &   \\
 x_{7}   &  0.0 & +  1.00 x_{1} & +  7.00 x_{2} & -2.00 x_{3} & -7.00 x_{4} & +  2.00 x_{5}\\
 x_{8}   &  2.0 & -6.00 x_{1} & -5.00 x_{2} & +  3.00 x_{3} & -8.00 x_{4} & +  5.00 x_{5}\\
 x_{9}   &  -2.0 & +  2.00 x_{1} & -10.00 x_{2} & +  3.00 x_{3} & -8.00 x_{4} & -3.00 x_{5}\\
 x_{10}   &  1.0 & -9.00 x_{1} & +  1.00 x_{2} & -3.00 x_{3} & -5.00 x_{4} & -2.00 x_{5}\\
 x_{11}   &  0.0 & +  2.00 x_{1} & -4.00 x_{2} & -7.00 x_{3} & +  8.00 x_{4} & +  4.00 x_{5}\\
 x_{12}   &  -3.0 & -8.00 x_{1} & -8.00 x_{2} & -4.00 x_{3} & -6.00 x_{4} & -7.00 x_{5}\\
 x_{13}   &  -3.0 & +  2.00 x_{1} & -3.00 x_{2} & -10.00 x_{3} & -9.00 x_{4} & -8.00 x_{5}\\
 x_{14}   &  0.0 & +  3.00 x_{1} & + 10.00 x_{2} & +  7.00 x_{3} & +  8.00 x_{4} & -10.00 x_{5}\\
\hline
z    &  0.0 & -2.00 x_{1} & -2.00 x_{2} & +  2.00 x_{3} & -1.00 x_{4} & -2.00 x_{5}\\
\end{array}\]
\subsection{Initialization Phase: Dual Problem Solving}
New Objective in primal was changed to : \[ \max\ \sum_{j=1}^{5}\ - x_j \] 
Primal variable $x_j$ corresponds to dual variable $y_j$ for $j = 1,\ldots,14$
Dual Dictionary (with objective changed is): 
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  1.0 & +  3.00 y_{6} & -1.00 y_{7} & +  6.00 y_{8} & -2.00 y_{9} & +  9.00 y_{10} & -2.00 y_{11} & +  8.00 y_{12} & -2.00 y_{13} & -3.00 y_{14}\\
 y_{2}   &  1.0 & -4.00 y_{6} & -7.00 y_{7} & +  5.00 y_{8} & + 10.00 y_{9} & -1.00 y_{10} & +  4.00 y_{11} & +  8.00 y_{12} & +  3.00 y_{13} & -10.00 y_{14}\\
 y_{3}   &  1.0 & + 10.00 y_{6} & +  2.00 y_{7} & -3.00 y_{8} & -3.00 y_{9} & +  3.00 y_{10} & +  7.00 y_{11} & +  4.00 y_{12} & + 10.00 y_{13} & -7.00 y_{14}\\
 y_{4}   &  1.0 & +  5.00 y_{6} & +  7.00 y_{7} & +  8.00 y_{8} & +  8.00 y_{9} & +  5.00 y_{10} & -8.00 y_{11} & +  6.00 y_{12} & +  9.00 y_{13} & -8.00 y_{14}\\
 y_{5}   &  1.0  &   & -2.00 y_{7} & -5.00 y_{8} & +  3.00 y_{9} & +  2.00 y_{10} & -4.00 y_{11} & +  7.00 y_{12} & +  8.00 y_{13} & + 10.00 y_{14}\\
\hline
z    &  -0 & +  1.00 y_{6} &   & -2.00 y_{8} & +  2.00 y_{9} & -1.00 y_{10} &   & +  3.00 y_{12} & +  3.00 y_{13} &   \\
\end{array}\]
Unbounded Dictionary!
Initialization returns unbounded dual dictionary after 2 pivots
\[\begin{array}{c| c c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} c@{\hskip 2pt} }
 y_{1}   &  1.75 & -0.75 y_{2} & -6.25 y_{7} & +  9.75 y_{8} & +  5.50 y_{9} & +  8.25 y_{10} & +  1.00 y_{11} & + 14.00 y_{12} & +  0.25 y_{13} & -10.50 y_{14}\\
 y_{6}   &  0.25 & -0.25 y_{2} & -1.75 y_{7} & +  1.25 y_{8} & +  2.50 y_{9} & -0.25 y_{10} & +  1.00 y_{11} & +  2.00 y_{12} & +  0.75 y_{13} & -2.50 y_{14}\\
 y_{3}   &  3.5 & -2.50 y_{2} & -15.50 y_{7} & +  9.50 y_{8} & + 22.00 y_{9} & +  0.50 y_{10} & + 17.00 y_{11} & + 24.00 y_{12} & + 17.50 y_{13} & -32.00 y_{14}\\
 y_{4}   &  2.25 & -1.25 y_{2} & -1.75 y_{7} & + 14.25 y_{8} & + 20.50 y_{9} & +  3.75 y_{10} & -3.00 y_{11} & + 16.00 y_{12} & + 12.75 y_{13} & -20.50 y_{14}\\
 y_{5}   &  1.0  &   & -2.00 y_{7} & -5.00 y_{8} & +  3.00 y_{9} & +  2.00 y_{10} & -4.00 y_{11} & +  7.00 y_{12} & +  8.00 y_{13} & + 10.00 y_{14}\\
\hline
z    &  0.25 & -0.25 y_{2} & -1.75 y_{7} & -0.75 y_{8} & +  4.50 y_{9} & -1.25 y_{10} & +  1.00 y_{11} & +  5.00 y_{12} & +  3.75 y_{13} & -2.50 y_{14}\\
\end{array}\]
Original Problem is Infeasible
Infeasible Problem.. Early Exit
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